Question

solve the equation.
1.3 + 6d = 2.7 - 8d
use the sketch tool or paper if it helps with your thinking.

Explanation:

Step1: Add \(8d\) to both sides

To get all the \(d\) terms on one side, we add \(8d\) to both sides of the equation \(1.3 + 6d=2.7 - 8d\). This gives us \(1.3 + 6d+8d=2.7 - 8d + 8d\), which simplifies to \(1.3+14d = 2.7\).

Step2: Subtract \(1.3\) from both sides

Next, we isolate the term with \(d\) by subtracting \(1.3\) from both sides. So, \(1.3+14d - 1.3=2.7 - 1.3\), which simplifies to \(14d=1.4\).

Step3: Divide both sides by 14

Finally, we solve for \(d\) by dividing both sides of the equation \(14d = 1.4\) by \(14\). That is, \(d=\frac{1.4}{14}\). Calculating the right - hand side, we get \(d = 0.1\).

Answer:

\(d = 0.1\)